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Finding the Fourth Proportional to 3,598.68, 5,389.62 and 2,770.38

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Solution

The fourth proportional to 3,598.68, 5,389.62 and 2,770.38 is: 4,149.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,598.68 : 5,389.62 = 2,770.38 : x
  2. Step 2: Convert to fraction form
    3,598.68/5,389.62 = 2,770.38/x
  3. Step 3: Cross multiply
    3,598.68x = 5,389.62 × 2,770.38
  4. Step 4: Simplify right side
    3,598.68x = 14,931,295.46
  5. Step 5: Solve for x
    x = 14,931,295.46/3,598.68
  6. Step 6: Final answer
    x = 4,149.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.